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Quantum computing of delocalization in small-world networks | | O. Giraud
; B. Georgeot
; D.L. Shepelyansky
; | | Date: |
23 Mar 2005 | | Journal: | Phys. Rev. E 72, 036203 (2005) DOI: 10.1103/PhysRevE.72.036203 | | Subject: | Quantum Physics; Statistical Mechanics; Disordered Systems and Neural Networks; Adaptation and Self-Organizing Systems | quant-ph cond-mat.dis-nn cond-mat.stat-mech nlin.AO | | Abstract: | We study a quantum small-world network with disorder and show that the system exhibits a delocalization transition. A quantum algorithm is built up which simulates the evolution operator of the model in a polynomial number of gates for exponential number of vertices in the network. The total computational gain is shown to depend on the parameters of the network and a larger than quadratic speed-up can be reached. We also investigate the robustness of the algorithm in presence of imperfections. | | Source: | arXiv, quant-ph/0503188 | | Services: | Forum | Review | PDF | Favorites | |
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